Radiation conditions and spectral theory for 2-body Schrödinger operators with oscillating long-range potentials. II: Spectral representation

DOI10.1215/KJM/1250522468zbMath0414.47013OpenAlexW1525821293MaRDI QIDQ599329

Jun Uchiyama, Kiyoshi Mochizuki

Publication date: 1979

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250522468

zbMATH Keywords

Schrödinger operatorsspectral measurespectral representationgeneralized Fourier transformsoscillating long-range

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Scattering theory of linear operators (47A40) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

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A limiting absorption principle for the Schrödinger operator with potential increasing as the radius tends to infinity ⋮ Time dependent representations of the stationary wave operators for oscillating long-range potentials

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